76395348000 has 576 divisors, whose sum is σ = 293853111552. Its totient is φ = 18721382400.

The previous prime is 76395347969. The next prime is 76395348031. The reversal of 76395348000 is 84359367.

76395348000 is a `hidden beast` number, since 7 + 6 + 39 + 534 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76395347969) and next prime (76395348031).

It is a super-2 number, since 2×76395348000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26314549 + ... + 26317451.

It is an arithmetic number, because the mean of its divisors is an integer number (510161652).

Almost surely, 2^76395348000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76395348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146926555776).

76395348000 is an abundant number, since it is smaller than the sum of its proper divisors (217457763552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76395348000 is a wasteful number, since it uses less digits than its factorization.

76395348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 76395348000 in words is "seventy-six billion, three hundred ninety-five million, three hundred forty-eight thousand".